ACT Math
Lesson Plan
Imaginary unit i and standard form a + bi
Goals / Objectives
Write a complex number in standard form a + bi, using i^2 = -1, and name its real part a and imaginary part b
Explain why no real number satisfies x^2 = -1, and state the definition i^2 = -1
Rewrite sqrt(-k) for positive k as i*sqrt(k), including cases where k is not a perfect square
Classify a number as real (b = 0), pure imaginary (a = 0), or complex with both parts nonzero, recognising every real number as complex
Solve a + bi = c + di for unknowns by matching real and imaginary parts
Standards
"N 504. Exhibit some knowledge of the complex numbers" "N 606. Multiply two complex numbers" "N 704. Apply properties of complex numbers and the complex number system"
Academic Vocabulary
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Materials
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Remediation
Enrichment
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Accommodations
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Anticipatory Set / Bell Work
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Modeling
Check for Understanding
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Guided Practice
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Homework
Pacing
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